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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Define Radius of Gyration. Write Its Physical Significance. - Physics

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प्रश्न

Define radius of gyration. Write its physical significance.

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उत्तर

Radius of gyration or gyradius refers to the distribution of the component of object around the axis in terms of the mass moment of inertia, As it is the perpendicular distance from the axis of rotation to a point mass m that gives an equivalent inertia to the original object m The nature of the object does not affect the concept, which applies equally to a surface bulk mass. Mathematically the radius of gyration is the root mean square distance of the object's parts from either its center of mass or the given axis, depending on the relevant application.

`"I" = "MK"^2`

`"K"^2= "I"//"M"`

`"K"= sqrt("I"//"M")`

Physical Signification:
It signifies distribution of mass about axis of rotation.

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